A Multi-Layer Finite Element Model Based on Anisotropic Hyperelastic Fiber Reinforcements within Intestinal Walls
The intestinal wall is considered as a highly composite heterogeneous tissue characterized by a strong nonlinear stress-strain passive response with an exponential stiffening effect at higher deformations. The conventional theory of fiber-reinforced elastic solids allows one to describe the anisotro...
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Tsinghua University Press
2017-12-01
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Series: | Nano Biomedicine and Engineering |
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Online Access: | https://www.sciopen.com/article/10.5101/nbe.v9i4.p291-297 |
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author | Dasheng Liu Guozheng Yan |
author_facet | Dasheng Liu Guozheng Yan |
author_sort | Dasheng Liu |
collection | DOAJ |
description | The intestinal wall is considered as a highly composite heterogeneous tissue characterized by a strong nonlinear stress-strain passive response with an exponential stiffening effect at higher deformations. The conventional theory of fiber-reinforced elastic solids allows one to describe the anisotropic strain energy as a function of the pseudo-invariants arising from the coupling of the elastic deformation and the direction of fiber reinforcement. In this paper, a multi-layer finite element model of the intestine walls is developed, based on an anisotropic hyperelastic theory of the layered structure, in which each layer may be considered as a composite reinforced by two families of fibers that are arranged in symmetrical spirals. A potential is proposed to model the intestine walls as a fiber-reinforced composite consisting of two directions of muscle-fiber reinforcement and a cross-ply collagen arrangement. Moreover, finite element simulations of a specimen cut from the intestinal walls were carried out by using the same form of strain-energy function, described by a well-known Gasser-Ogden-Holzapfel (GOH) model, for each layer. The model parameters were optimized by fitting the model to the experimental stress-stretch responses in both longitudinal and circumferential directions. In order to verify the proposed model, finite element analyses were carried out to investigate the distributions of equivalent stress in the intestine after the complete deployment of capsule robot legs. |
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spelling | doaj.art-1b88925f5b5e4f60a473ccb73f20720a2024-11-02T22:57:58ZengTsinghua University PressNano Biomedicine and Engineering2150-55782017-12-019429129710.5101/nbe.v9i4.p291-297A Multi-Layer Finite Element Model Based on Anisotropic Hyperelastic Fiber Reinforcements within Intestinal WallsDasheng Liu0Guozheng Yan1Department of Instrument Science and Engineering, School of Electronic Information and Electrical Engineering, Shanghai JiaoTong University, Shanghai, 200240, ChinaDepartment of Instrument Science and Engineering, School of Electronic Information and Electrical Engineering, Shanghai JiaoTong University, Shanghai, 200240, ChinaThe intestinal wall is considered as a highly composite heterogeneous tissue characterized by a strong nonlinear stress-strain passive response with an exponential stiffening effect at higher deformations. The conventional theory of fiber-reinforced elastic solids allows one to describe the anisotropic strain energy as a function of the pseudo-invariants arising from the coupling of the elastic deformation and the direction of fiber reinforcement. In this paper, a multi-layer finite element model of the intestine walls is developed, based on an anisotropic hyperelastic theory of the layered structure, in which each layer may be considered as a composite reinforced by two families of fibers that are arranged in symmetrical spirals. A potential is proposed to model the intestine walls as a fiber-reinforced composite consisting of two directions of muscle-fiber reinforcement and a cross-ply collagen arrangement. Moreover, finite element simulations of a specimen cut from the intestinal walls were carried out by using the same form of strain-energy function, described by a well-known Gasser-Ogden-Holzapfel (GOH) model, for each layer. The model parameters were optimized by fitting the model to the experimental stress-stretch responses in both longitudinal and circumferential directions. In order to verify the proposed model, finite element analyses were carried out to investigate the distributions of equivalent stress in the intestine after the complete deployment of capsule robot legs.https://www.sciopen.com/article/10.5101/nbe.v9i4.p291-297hyperelasticintestinal wallsfinite element modelmulti-layer compositeanisotropicfiber reinforcements |
spellingShingle | Dasheng Liu Guozheng Yan A Multi-Layer Finite Element Model Based on Anisotropic Hyperelastic Fiber Reinforcements within Intestinal Walls Nano Biomedicine and Engineering hyperelastic intestinal walls finite element model multi-layer composite anisotropic fiber reinforcements |
title | A Multi-Layer Finite Element Model Based on Anisotropic Hyperelastic Fiber Reinforcements within Intestinal Walls |
title_full | A Multi-Layer Finite Element Model Based on Anisotropic Hyperelastic Fiber Reinforcements within Intestinal Walls |
title_fullStr | A Multi-Layer Finite Element Model Based on Anisotropic Hyperelastic Fiber Reinforcements within Intestinal Walls |
title_full_unstemmed | A Multi-Layer Finite Element Model Based on Anisotropic Hyperelastic Fiber Reinforcements within Intestinal Walls |
title_short | A Multi-Layer Finite Element Model Based on Anisotropic Hyperelastic Fiber Reinforcements within Intestinal Walls |
title_sort | multi layer finite element model based on anisotropic hyperelastic fiber reinforcements within intestinal walls |
topic | hyperelastic intestinal walls finite element model multi-layer composite anisotropic fiber reinforcements |
url | https://www.sciopen.com/article/10.5101/nbe.v9i4.p291-297 |
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